Networks can be used to study and create models of social, engineering, and biological systems. In this tutorial I will introduce basic concepts and methods of network analysis and provide some examples of simple social system models. Some of the topics that will be discussed are methods of representing networks, basic characteristics of network structure, tutorials on importing network datasets and generating synthetic networks, and examples of various social contagion models. The goal of this tutorial is to give the audience the tools to create and explore basic models of social dynamics on synthetic or existing network datasets.